Aspherical tank has a capacity of 800 gallons. using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (to the nearest hundredth of a foot).

Solution-

Capacity of the spherical tank = 800 gallons.

1 gallon = 0.1337 ft³,

Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³

Formula for the volume of sphere

Equating both the volumes

⇒ = 106.96

⇒ = 25.53

⇒

⇒ r = 2.94

∴ Radius of the sphere is 2.94 ft

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743